Influence of magnetic field for metachoronical beating of cilia for nanofluid with Newtonian heating

Influence of magnetic field for metachoronical beating of cilia for nanofluid with Newtonian heating in an asymmetric channel is considered. The governing coupled equations are constructed under long wavelength and low Reynold's number approximation. The Newtonian heating is controlled by a dimensionless conjugate parameter, which varies between walls of channel. Numerical solutions are evaluated for nanoparticle fraction, heat transfer, stream function and pressure gradient. The important findings in this study are the variation of the conjugate parameter for Newtonian heating γ, Hartmann number M, thermophoresis parameter Nt and Brownian motion parameter Nb on pressure rise, nanoparticle fraction, heat transfer phenomena, pressure gradient and streamlines. The velocity field increases due to increase in M near the channel walls while velocity field decreases at the centre of the channel.